Proof theory
Subtitle: an introduction
By: Wolfram Pohlers.
Series: Lecture notes in mathematics ;; 1407; Lecture notes in mathematics (Springer-Verlag) ;; 1407.
Publisher: Springer-Verlag
Published: 1989
Place of publication: Berlin; New York
Language: eng
Number of pages: 213
Subjects: Proof theory.
Description: Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The "constructive" consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the "cabal language" of proof theory, but only a language familiar to most readers.
Notes: Includes bibliographical references (p. 190-207).
"Somewhat extended lecture notes of an introductory course ... [given] during the winter term 1987-1988 at the University of Münster, FRG"--P. iii.